Search a number
-
+
45783808 = 28729881
BaseRepresentation
bin1010111010100…
…1101100000000
310012011001120121
42232221230000
543210040213
64313150024
71064104330
oct256515400
9105131517
1045783808
1123931064
12133bb314
139640315
14611b0c0
15404588d
hex2ba9b00

45783808 has 72 divisors (see below), whose sum is σ = 108168480. Its totient is φ = 18923520.

The previous prime is 45783767. The next prime is 45783811. The reversal of 45783808 is 80838754.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51528 + ... + 52408.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 245783808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084240).

45783808 is an abundant number, since it is smaller than the sum of its proper divisors (62384672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45783808 is an equidigital number, since it uses as much as digits as its factorization.

45783808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 45783808 is about 6766.3733269751. The cubic root of 45783808 is about 357.7425820290.

The spelling of 45783808 in words is "forty-five million, seven hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 881 896 928 1624 1762 1792 1856 3248 3524 3712 6167 6496 7048 7424 12334 12992 14096 24668 25549 25984 28192 49336 51098 51968 56384 98672 102196 112768 178843 197344 204392 225536 357686 394688 408784 715372 789376 817568 1430744 1578752 1635136 2861488 3270272 5722976 6540544 11445952 22891904 45783808